1975 Volume 39 Issue 1 Pages 25-29
For a lattice polymer on the cubic lattice and for a Gaussian polymer in three dimensional space, it is proved that the square of the expansion factor α is zero for negative real z, the measure of the strength of the intrachain interaction, when the polymer length becomes infinite under the condition that z is kept finite. This fact implies that the perturbation series for α2(z) is not convergent except at z=0.
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